Finding the Third Proportional to 31,872 and 67,392

Step by Step Solution

1. Step 1: Write the proportion equation
   31,872 : 67,392 = 67,392 : x
2. Step 2: Convert to fraction form
   31,872/67,392 = 67,392/x
3. Step 3: Cross multiply
   31,872x = 67,392 × 67,392
4. Step 4: Simplify right side
   31,872x = 4,541,681,664
5. Step 5: Solve for x
   x = 4,541,681,664/31,872
6. Step 6: Final answer
   x = 142,497.54